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Preprints of the Keldysh Institute of Applied Mathematics, 2021, 089, 46 pp.
DOI: https://doi.org/10.20948/prepr-2021-89-e
(Mi ipmp3006)
 

This article is cited in 1 scientific paper (total in 1 paper)

Optimal weights for bidirectional ray tracing with photon maps while mixing 3 strategies

S. V. Ershov, M. S. Kopylov, A. G. Voloboy
References:
Abstract: Bidirectional stochastic ray tracing with photon maps is a powerful method but suffers from noise. It can be reduced by the Multiple Importance Sampling which combines results of different “strategies”. The “optimal weights” minimize the noise functional thus providing the best quality of the results. In the paper we derive and solve the system of integral equations that determine the optimal weights. It has several qualitative differences from the previously investigated case of mixing two strategies, but further increase of their number beyond 3 retains the qualitative features of the system. It can be solved in a closed form i.e. as an algebraic formula that include several integrals of the known functions that can be calculated in ray tracing.
Keywords: stochastic ray tracing, photon maps, multiple importance sampling, optimal weights.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00547
Document Type: Preprint
Language: English
Citation: S. V. Ershov, M. S. Kopylov, A. G. Voloboy, “Optimal weights for bidirectional ray tracing with photon maps while mixing 3 strategies”, Keldysh Institute preprints, 2021, 089, 46 pp.
Citation in format AMSBIB
\Bibitem{ErsKopVol21}
\by S.~V.~Ershov, M.~S.~Kopylov, A.~G.~Voloboy
\paper Optimal weights for bidirectional ray tracing with photon maps while mixing 3 strategies
\jour Keldysh Institute preprints
\yr 2021
\papernumber 089
\totalpages 46
\mathnet{http://mi.mathnet.ru/ipmp3006}
\crossref{https://doi.org/10.20948/prepr-2021-89-e}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:55
    Full-text PDF :14
    References:16
     
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